{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1cabd52a",
   "metadata": {},
   "source": [
    "Chapter 6"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ea69bfe",
   "metadata": {},
   "source": [
    "Script 6-1: Analyze change points in Apple and Alphabet stock values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e1255256",
   "metadata": {},
   "outputs": [],
   "source": [
    "#import packages\n",
    "import igraph as ig\n",
    "from igraph import Graph\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import os\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "00a58728",
   "metadata": {},
   "outputs": [],
   "source": [
    "#import Apple and Alphabet stock data\n",
    "File=\"C:/users/njfar/OneDrive/Desktop/AAPL_GOOGL_Stock_2004_2020.csv\"\n",
    "pwd=os.getcwd()\n",
    "os.chdir(os.path.dirname(File))\n",
    "mydata=pd.read_csv(os.path.basename(File),encoding='latin1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "969701d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "#script to create time slices, derive networks, and compute centrality metrics\n",
    "stock_networks=[]\n",
    "bet_t=[]\n",
    "deg_t=[]\n",
    "eig_t=[]\n",
    "vcurv_t=[]\n",
    "bet_ave=[]\n",
    "deg_ave=[]\n",
    "eig_ave=[]\n",
    "vcurv_ave=[]\n",
    "for Date in range(5,3932):\n",
    "    #wrangle data into graph\n",
    "    data=mydata.iloc[(Date-5):(Date),1:5]\n",
    "    cor=np.corrcoef(data.transpose())\n",
    "    cor[cor>=0.5]=1\n",
    "    cor[cor<0.5]=0\n",
    "    stock_data=Graph.Adjacency(cor)\n",
    "    stock_networks.append(stock_data)\n",
    "    #derive some centrality metrics\n",
    "    d=Graph.degree(stock_data)\n",
    "    deg_t.append(d)\n",
    "    deg_ave.append(np.mean(d))\n",
    "    b=Graph.betweenness(stock_data)\n",
    "    bet_t.append(b)\n",
    "    bet_ave.append(np.mean(b))\n",
    "    e=Graph.pagerank(stock_data)\n",
    "    eig_t.append(e)\n",
    "    eig_ave.append(np.mean(e))\n",
    "    #create Forman-Ricci curvature calculations\n",
    "    ecurvw=[]\n",
    "    for edge in stock_data.es:\n",
    "        s=edge.source\n",
    "        t=edge.target\n",
    "        ecurvw.append(2-d[s]-d[t])\n",
    "    vcurvw=[]\n",
    "    for vertex in stock_data.vs:\n",
    "        inc=Graph.incident(stock_data,vertex)\n",
    "        inc_curv=[]\n",
    "        for i in inc:\n",
    "            inc_curv.append(ecurvw[i])\n",
    "        vcurvw.append(sum(inc_curv))\n",
    "    vcurv_t.append(vcurvw)\n",
    "    vcurv_ave.append(np.mean(vcurvw))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "08db521a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.        -0.0456318]\n",
      " [-0.0456318  1.       ]]\n",
      "[[1.         0.01328503]\n",
      " [0.01328503 1.        ]]\n",
      "[[ 1.         -0.99234485]\n",
      " [-0.99234485  1.        ]]\n",
      "[[1.         0.04025885]\n",
      " [0.04025885 1.        ]]\n",
      "[[1.         0.04428258]\n",
      " [0.04428258 1.        ]]\n",
      "[[1.        0.0497143]\n",
      " [0.0497143 1.       ]]\n"
     ]
    }
   ],
   "source": [
    "#examine correlations among metrics across the time series\n",
    "print(np.corrcoef(deg_ave,eig_ave))\n",
    "print(np.corrcoef(deg_ave,bet_ave))\n",
    "print(np.corrcoef(deg_ave,vcurv_ave))\n",
    "print(np.corrcoef(eig_ave,bet_ave))\n",
    "print(np.corrcoef(eig_ave,vcurv_ave))\n",
    "print(np.corrcoef(bet_ave,vcurv_ave))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "19397268",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot metric averages across time slices\n",
    "time=range(0,3927)\n",
    "plt.plot(time, deg_ave, label = \"Degree Average\")\n",
    "plt.plot(time, eig_ave, label = \"Pagerank Average\")\n",
    "plt.plot(time, bet_ave, label = \"Betweenness Average\")\n",
    "plt.plot(time, vcurv_ave, label = \"Forman-Ricci Curvature Avereage\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "14b8794c",
   "metadata": {},
   "outputs": [],
   "source": [
    "#script to create time slices, derive networks, and compute centrality metrics\n",
    "stock_networks=[]\n",
    "bet_t=[]\n",
    "deg_t=[]\n",
    "eig_t=[]\n",
    "vcurv_t=[]\n",
    "bet_ave=[]\n",
    "deg_ave=[]\n",
    "eig_ave=[]\n",
    "vcurv_ave=[]\n",
    "for Date in range(5,3932):\n",
    "    #wrangle data into graph\n",
    "    data=mydata.iloc[(Date-5):(Date),1:5]\n",
    "    cor=np.corrcoef(data.transpose())\n",
    "    cor[cor>=0.9]=1\n",
    "    cor[cor<0.9]=0\n",
    "    stock_data=Graph.Adjacency(cor)\n",
    "    stock_networks.append(stock_data)\n",
    "    #derive some centrality metrics\n",
    "    d=Graph.degree(stock_data)\n",
    "    deg_t.append(d)\n",
    "    deg_ave.append(np.mean(d))\n",
    "    b=Graph.betweenness(stock_data)\n",
    "    bet_t.append(b)\n",
    "    bet_ave.append(np.mean(b))\n",
    "    e=Graph.pagerank(stock_data)\n",
    "    eig_t.append(e)\n",
    "    eig_ave.append(np.mean(e))\n",
    "    #create Forman-Ricci curvature calculations\n",
    "    ecurvw=[]\n",
    "    for edge in stock_data.es:\n",
    "        s=edge.source\n",
    "        t=edge.target\n",
    "        ecurvw.append(2-d[s]-d[t])\n",
    "    vcurvw=[]\n",
    "    for vertex in stock_data.vs:\n",
    "        inc=Graph.incident(stock_data,vertex)\n",
    "        inc_curv=[]\n",
    "        for i in inc:\n",
    "            inc_curv.append(ecurvw[i])\n",
    "        vcurvw.append(sum(inc_curv))\n",
    "    vcurv_t.append(vcurvw)\n",
    "    vcurv_ave.append(np.mean(vcurvw))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "768060cd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.         -0.04131058]\n",
      " [-0.04131058  1.        ]]\n",
      "[[1.         0.44484238]\n",
      " [0.44484238 1.        ]]\n",
      "[[ 1.         -0.98316202]\n",
      " [-0.98316202  1.        ]]\n",
      "[[1.         0.00304879]\n",
      " [0.00304879 1.        ]]\n",
      "[[1.         0.04389723]\n",
      " [0.04389723 1.        ]]\n",
      "[[ 1.         -0.38904143]\n",
      " [-0.38904143  1.        ]]\n"
     ]
    }
   ],
   "source": [
    "#examine correlations among metrics across the time series\n",
    "print(np.corrcoef(deg_ave,eig_ave))\n",
    "print(np.corrcoef(deg_ave,bet_ave))\n",
    "print(np.corrcoef(deg_ave,vcurv_ave))\n",
    "print(np.corrcoef(eig_ave,bet_ave))\n",
    "print(np.corrcoef(eig_ave,vcurv_ave))\n",
    "print(np.corrcoef(bet_ave,vcurv_ave))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1c2f40d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot metric averages across time slices\n",
    "time=range(0,3927)\n",
    "plt.plot(time, deg_ave, label = \"Degree Average\")\n",
    "plt.plot(time, eig_ave, label = \"Pagerank Average\")\n",
    "plt.plot(time, bet_ave, label = \"Betweenness Average\")\n",
    "plt.plot(time, vcurv_ave, label = \"Forman-Ricci Curvature Avereage\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c59d57fa",
   "metadata": {},
   "source": [
    "Script 6-2: Simplicial complex analysis of stock data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "74bfead0",
   "metadata": {},
   "outputs": [],
   "source": [
    "#define Vietoris-Rips complex\n",
    "from itertools import combinations\n",
    "from numpy import linalg as LA\n",
    "def graph_VR(points, eps):\n",
    "   points=[np.array(x) for x in points]   \n",
    "   vr=[(x,y) for (x,y) in combinations(points, 2) if LA.norm(x - y) <= 2*eps]\n",
    "   return np.array(vr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8e34a19b",
   "metadata": {},
   "outputs": [],
   "source": [
    "#apply Vietoris-Rips with multiple thresholds to a slice of our stock dataset\n",
    "data=mydata.iloc[0:5,1:5]\n",
    "vr1=graph_VR(data.transpose(),1)\n",
    "vr2=graph_VR(data.transpose(),10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "16a16209",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Vietoris-Rips Complex, Threshold=1:\n",
      "[[0 1]\n",
      " [0 2]\n",
      " [1 2]\n",
      " [1 3]\n",
      " [2 3]\n",
      " [2 4]\n",
      " [3 4]]\n",
      "Vietoris-Rips Complex, Threshold=10:\n",
      "[[0 1]\n",
      " [0 2]\n",
      " [0 3]\n",
      " [0 4]\n",
      " [1 2]\n",
      " [1 3]\n",
      " [1 4]\n",
      " [2 3]\n",
      " [2 4]\n",
      " [3 4]]\n"
     ]
    }
   ],
   "source": [
    "#print the results\n",
    "print(\"Vietoris-Rips Complex, Threshold=1:\")\n",
    "print(vr1)\n",
    "print(\"Vietoris-Rips Complex, Threshold=10:\")\n",
    "print(vr2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9f4c3324",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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